is 2 520607 - 1
has 156719 decimal digits
takes 0.008 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6DE9C952227332FAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26757.075571.6418%100000008300000001.156210.7555%58.231774.6918%3.0501%
PrimeNet2400.000052.5000%50001800000.000319.3537%0.000361.6930%9.1930%
GPU722440.000056.8182%90003000000.000514.5927%0.000563.1196%6.3014%
Difference+23+57.0755+14.8236%+9991000+829700000+1.1556-3.8373%+58.2312+11.5723%+11.5723%

Known prime factors (1 factor, 65.5 bits, 0.01257243% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
520607505011848984964420172065.45348502214624944
24 × 197 × 269 × 57203563
2009-07-272695720356326.7020.06590.1231

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.007--2.513%
2002-08-31T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.511%
2003-04-27T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.380%
2016-03-16T12:43:50alpertronManual testing15000005000000012---0.088--6.126%
2021-05-24T06:44:00happy5214Manual testing10000000830000000-
skipped known factor: 50501184898496442017
--1.156--10.755%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-24T06:44:00happy5214Manual testing500000036500000027--0.485


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-15T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T08:26:24LordJuliusManual testing254255--0.005--
2001-04-01T00:00:00ANONYMOUSv4_computers21256--0.018--
2001-12-22T00:00:00ANONYMOUSv4_computers21257--0.037--
2003-12-13T00:00:00ANONYMOUSv4_computers21258--0.074--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.079 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000423 / 1004.2301.425%
2550000423 / 2801.51122.016%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:16.079 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8220.000%
25500003.0214.875%
302500000.28775.083%
3510000000.02297.834%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002794.490
2500002500000014411.59


Lucas-Lehmer results:
No L-L results for M520607


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T09:58:16Oliver KruseGTX-0
50501184898496442017
783A9E5E2E1DBA__no
2017-11-03T03:00:04kkmrkkblmbrbkc4.xlarge
50501184898496442017
783A9E5E2E1DBA__no
2020-04-19T01:44:13Oliver KruseAddPrpType5
50501184898496442017
4AA19DB1648ECC__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 830000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T08:26:24+00:00